Learn how to find the value that makes a perfect square with fractions

The video tutorial explains how to complete the square in a quadratic expression to form a perfect square trinomial. It details the process of finding the value of C by taking B, dividing it by 2, and squaring it, emphasizing the importance of keeping values in fractional form. The tutorial also covers writing the trinomial as a perfect square and understanding the underlying mathematical reasoning, including the use of the FOIL method. Special cases, such as when B is zero, are also discussed.

What is the first step in completing the square for a quadratic expression?

• Add B and C

• Divide B by 2 and square it

• Subtract A from B

• Multiply A by C

Why is it recommended to keep calculations in fractional form when completing the square?

• Fractions are easier to multiply

• Decimals are not allowed in mathematics

• Decimals can lead to incorrect answers

• Fractions are more visually appealing

What is the value of C that completes the square for the expression with B = -9?

• 81/2

• 81/4

• 9/2

• 9/4

How can a perfect square trinomial be expressed?

• As a sum of squares

• As a product of linear factors

• As a difference of squares

• As a perfect square

What method is used to verify the factorization of a perfect square trinomial?

• Substitution

• Graphing

• Completing the square again

• FOIL method